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4 years ago

SHOW WORK WILL MARK BRAINLIEST

Mathematics

1 answer:

nasty-shy [4]4 years ago

8 0

Answer:

$\large\boxed{x=\dfrac{5\pi}{4}\ \vee\ x=\dfrac{7\pi}{4}}$

Step-by-step explanation:

The first step in attachment.

$\sin(x)=-\dfrac{\sqrt2}{2}\to x=-\dfrac{\pi}{4}+2k\pi\ \vee\ x=\dfrac{5\pi}{4}+2k\pi\\\\x\in[0,\ 2\pi)\\\\\text{Therefore}\\\\x=-\dfrac{\pi}{4}+2\pi=\dfrac{7\pi}{4}\ \vee\ x=\dfrac{5\pi}{4}$

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The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Stella [2.4K]

Answer:

the steady-state percentage of residents who are uninvolved is 0.5

Step-by-step explanation:

Given the data in the question;

let N represent total number of people in the dormitory

I represent people involved in a relationship

and U represent people uninvolved in a relationship.

N = I + U

I = N - U ------ let this be equation 1

Rate of Uninvolved = U/N

now, given that rate of break ups B = 15% every month = 0.15

rate of entering into relationship R = 15% every month = 0.15

Now, the steady state condition is;

RU = BI ------- let this be equation 2

such that uninvolved rate is constant.

we input equation 1 into 2;

RU = B( N - U )

we divide both sides by N

RU/N = B( N/N - U/N )

RU/N = B( 1 - U/N )

U/N = B / (B + R)

so we substitute

U/N = 0.15 / (0.15 + 0.15)

U/N = 0.15 / 0.3

U/N = 0.5

Therefore, the steady-state percentage of residents who are uninvolved is 0.5

5 0

3 years ago

Irina is watching a 3 hour movie on TV. The shaded part of the fraction model below represents the part of each hour that the mo

boyakko [2]

Answer:

3 * 5/6 = 15/6 hours

Step-by-step explanation:

From the figure attached :

The bar is divided into 6 equal parts ; with 5 of the sections being shaded and 1 left unshaded

The shaded represent the actual playing time

Unshaded portion = time spent in commercials

Using the model, the actual playing time of the movie excluding commercials :

(Shaded portion / total portion) * movie length

5 / 6 * 3 = (5*3) / 6 = 15/6

7 0

3 years ago

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

hoa [83]

7/9 is the answer I believe

8 0

3 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 1492 children was taken to study their pu

julia-pushkina [17]

By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.

Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.

This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.

First we have to find the value of α which can be calculated as under:

α=(1-0.99)/2=0.005

p=1-0.005=0.995

corresponding z value will be 2.575 for p=0.995 .

Margin of error=z*x/d

where x is mean and d is standard deviation.

M=2.575*2.2/ $\sqrt{1492}$

=0.14

So the lower value will be x-M

=8.8-0.14

=8.66

=8.67 ( after rounding)

The upper value will be x+M

=8.8+0.14

=8.94

Hence the confidence interval will be 8.67 toys and 8.94 toys.

Learn more about z test at brainly.com/question/14453510

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2 years ago

Which of the binomials below is a factor of this trinomial?

Brut [27]

i think its but im not sure

6 0

3 years ago

Read 2 more answers